Answer:
28 m, 112 m
Step-by-step explanation:
x = length of short piece
4x = length of long piece
x + 4x = 140
5x = 140
x = 140/5 = 28
4x = 4(28) = 112
a wire of radius 6mm and length 400 is melted to sphere.calculate the volume of an irregular solid
Answer:
it's 10 cemetery in a two way too far and far from a lot for
The volume of irregular solid is 45239 mm^3
Given
for cylinder,
radius = 6mm and length = 400 mm
Volume, is defined as the ratio of the mass of object to its density.
since if the cylinder is melted to sphere the volume remains the constant
so.
volume of an irregular solid = volume of cylinder
= πr^2l
= 3.14 x 6^2 x 400
= 45239 mm^3
Thus, the required volume of of irregular solid is 45239 mm^3
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Find the measurement of BC.
Need help please- and also explanation.
Answer:
Step-by-step explanation:
Use "Law of sines"
[tex]\frac{sin A}{a}[/tex] = [tex]\frac{sin B}{b}[/tex] = [tex]\frac{sin C}{c}[/tex]
7.
Choose the linear inequality that describes each graph.
A. y ≥ 2x + 2
B. y ≥ – 2x + 2
C. y ≤ 2x – 2
D. y ≥ 2x – 2
Answer:
D. y ≥ 2x – 2
Step-by-step explanation:
Graph the inequality by finding the boundary line, then shading the appropriate area.
y ≥ 2 x + 2
Graph the inequality by finding the boundary line, then shading the appropriate area.
y ≥ − 2 x + 2
Graph the inequality by finding the boundary line, then shading the appropriate area.
y ≤ 2 x − 2
Graph the inequality by finding the boundary line, then shading the appropriate area.
y ≥ 2 x − 2
What is the surface area? 7 in 6 in 3 in
Answer:
126
Step-by-step explanation:
A rectangle has a length of 2x² + 3x +7 and
width of x^2 +5. What is the perimeter of
the rectangle?
Answer:
[tex]perimeter = ( {2x}^{2} + 3x + 7) + ( {x}^{2} + 5) \\ = (3 {x}^{2} + 3x + 12) \: units[/tex]
Answer:
[tex]P=6x^2+6x+24[/tex]
Step-by-step explanation:
[tex]P=2w+2l\\\\w=x^2+5\\\\l=2x^2+3x+7\\\\P=2(x^2+5)+2(2x^2+3x+7)[/tex]
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.
A triangle ABC is shown. The base of the triangle extends into a straight line. The angle formed between this straight line and the edge of the triangle is marked as p. The angle adjacent to p is marked as o, and the other two angles inside the triangle are marked as m and n.
Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p − m∠o = 90 degrees (alternate interior angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p
Step 4: So, m∠m + m∠n = m∠p
In which step did the student first make a mistake and how can it be corrected? (4 points)
a
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles)
b
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
c
Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles)
d
Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)
Answer:
C. Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles)
Step-by-step explanation:
The student first made a mistake in step 2. In order to check if the sum of the measures of the two remote interior angles of a triangle is equal to the measure of the exterior angle, it is necessary to use the property of alternate exterior angles. Alternate exterior angles are angles that are on opposite sides of the transversal and between the same parallel lines, so they are congruent. The measure of alternate exterior angles is always equal to 180 degree. Therefore, the correct statement in step 2 is that m∠o + m∠p = 180 degrees (alternate exterior angles)
Hope this helps
The points (p, -2) and (6, 8) fall on a line with a slope of -10. What is the value of p?
Thank you!
Step-by-step explanation:
(8 + 2)/(6 - p)= -10
10/6 - p = -10
-60 + 10p = 10
10p= 70
p= 7
16. A large waffle cone has a diameter of 3 inches and a height of 8 inches. Two scoops of
✓ ice cream have been stacked on top of the cone, after it was filled. The scoops are
completely round and have a diameter the same as the cone.
Find the volume of the two scoops of ice cream combined with the ice cream inside the
cone.
Answer:
(1/3) (44.5)π cm3.
Step-by-step explanation:
The volume of the two scoops of ice cream combined with the ice cream inside the cone can be calculated as follows:
Volume of cone = (1/3) π (3/2)2h = (1/3) π (4.5)8 = (1/3) (35.5)π
Volume of scoop = (1/6) π d3 = (1/6) (3)π
Total volume = (1/3) (35.5)π + 2(1/6) (3)π = (1/3) (44.5)π cm3.
If you can buy 3 packs of soda
for $6.00, how much will 4 packs of
soda cost
Answer:
it will be 8 dollars
Step-by-step explanation:
so each pack is two dollars and just add two
[tex]\sqrt{18} +\sqrt{50}[/tex]
Answer:
= 8 (square root of) 2
Step-by-step explanation:
i hope this helps :)
Please help, Worth 30.
Answer:
It's actually worth 15 points
Which of the following digits could replace the in the ten thousands place to make this statement true? 706,103 rounds to 800,000 if we round to the nearest hundred thousand, Choose all answers that apply (A ) 3 В 5 7 8
4th grade
Answer:
numbers 5-9 could replace the ten thousand place to make the statement true.
5, 7, 8
Step-by-step explanation:
Have a nice day!
Latoya's penny bank is 3/10 full. After she adds 400 pennies, it is 4/5 full. How many pennies can Latoya's bank hold?
Answer:
1.1
Step-by-step explanation:
Your math teacher is planning a test for you. The test will have 30 questions. Some of
the questions will be worth 3 points, and the others will be worth 4 points. There will
be a total of 100 points on the test. How many 3-point questions and how many 4-
point questions will be on the test?
Answer:
20 questions for 3 points
10 questions for 4 points
Step-by-step explanation:
20 × 3 = 60
10 × 4 = 40
60 + 40 = 100
Write a quadratic function in vertex form whose graph has the vertex (-2, - 13) and passes
through the point (-6,3).
Answer:
f(x) = ⁵/₈(x+2)² - 13Step-by-step explanation:
Vertex form of the equation of a quadratic function with vertex (h,k):
f(x) = a(x - h)² + k
To find a we need to put the point and the vertex into this equation:
3 = a(-6 + 2)² - 13
10 = a(-4)²
16a = 10
a = ⁵/₈
Therefore, vertex form of the quadratic function:
f(x) = ⁵/₈(x+2)² - 13
solving simultaneous equation
a+b=7
a-b=3
Answer: a=5 b=2
Step-by-step explanation:
They both satisfy the equation as 5+2=7 and 5-2=3
Hope this helps!
Here we have been given with two equations and we have to calculate the value of a and b by solving them simultaneously.
a + b = 7 (Equation No 1)a - b = 3 (Equation No 2)★ From Equation No 2 :
>> a - b = 3
>> a = 3 + b
★ In Equation No 1 :
Substituting here the value of a which we got above as (3 + b).
>> a + b = 7
>> 3 + b + b = 7
>> 3 + 2b = 7
>> 2b = 7 - 3
>> 2b = 4
>> b = 4 / 2
>> b = 2
★ Finding out value of a :
>> a = 3 + b
>> a = 3 + 2
>> a = 5 [tex] \: [/tex]
What is the area of the Composite Figure?
9514 1404 393
Answer:
141 units squared
Step-by-step explanation:
Dashed lines have been added to the figure to help you see one way to cut it into manageable pieces.
Triangle BCD has a base BD of 10 units and a height CD of 6 units. Its area is ...
A = 1/2bh
A = 1/2(10)(6) = 30 . . . square units
Square BEFG has sides of length 6. Its area is ...
A = s²
A = 6² = 36 . . . square units
Trapezoid AGHI has bases of 14 and 16, and a height of 5. Its area is ...
A = 1/2(b1 +b2)h
A = 1/2(14+16)(5) = 75 . . . square units
The total area is the sum of the parts:
total area = triangle area + square area + trapezoid area
total area = 30 + 36 + 75
total area = 141 . . . square units
Find the number of terms and the degree of this polynomial.
Answer:
Terms = 2
Degree = 10
Step-by-step explanation:
Terms are the values appearing separated by the the mathematical sign. for this question we have 2 terms only.
the degree of a polynomial is usually the largest degree of the individual terms. for our question it's degree 10 since it's the highest.
What is the quotient (3x2 4x − 15) ÷ (x 3)? 3x 5 3x − 5 3x 1 3x − 1, r = 1
By solving the expression (3x2 +4x − 15) ÷ (x +3) the quotient is 3x-5 and r=0
What do you meant by quotient?When solving a division problem, the quotient is obtained by dividing the dividend by the divisor.
Mathematically, we denote the outcome of this division by separating the quotient and remainder with a capital R. (see below). The entire number that results from simplifying a fraction is known as the quotient.
We can do it by long division method the required quotient is 3x-5 and r=0
not 3x-1 , r=1
multiply the divisor with 3x we will get 3x²+9x to cancel out the first term of dividend.
Now after solving we will get -5x -15
Now, multiply the divisor by -5 we will get -5x-15 which will cancel the entire dividend.
So that the quotient is 3x-5 and r=0
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Their sum is 3/5
and their difference is 7 1/5
Plz help i need it fast I will mark Brainlyist if there are two answers or more
Answer:
3.9 & 3.3
Step-by-step explanation:
x=3.9 and y=-3.3
Explanation:
Let x and y be the two numbers
x + y = 35
x − y = 36 / 5
Let's solve by elimination
2x = 39 / 5
x=3.9
y=-3.3
Hope that helps! :)
-Aphrodite
ASAP please! I have to get this done to get my grades up!
If f(x) = x2 - 3x + 5 and g(x) = 3x. Find the product of the functions.
A) (f · g)(x) = x2 + 5
B) (f · g)(x) = 3x2 - 9x + 15
C) (f · g)(x) = 3x2 - 6x + 15
D) (f · g)(x) = 3x3 - 9x2 + 15x
Answer:B
Step-by-step explanation:
You are one of 50 people with an entry into a random drawing for a new bicycle.
What is the probability that you will win the drawing?
A sequence has a rule to subtract 3/4 from the previous term. Create a sequence using this rule with at least 5 rational numbers.
1, 1/4, -1/2, -5/4, -2
Step-by-step explanation:
Let the first term of the sequence be a;
Since the sequence has a rule to subtract 3/4 from the previous term;
the second term will be a - 3/4
the third term will be (a - 3/4) - 3/4
=> a - 6/4
=> a - 3/2
the fourth term will be (a - 3/2) - 3/4
=> a - 9/4
the fifth term will be (a - 9/4) - 3/4
=> a - 12/4
=> a - 3
We can then create a hypothetical series by setting a = 1.
The first term => a = 1
The second term => a - 3/4 = 1 - 3/4 = 1/4
The third term => a - 3/2 = 1 - 3/2 = -1/2
The fourth term => a - 9/4 = 1 - 9/4 = -5/4
The fifth term => a - 3 = 1 - 3 = -2
The generated sequence is therefore:
1, 1/4, -1/2, -5/4, -2
Note: The numbers in the sequence are rational numbers since they all have a non-zero denominator.
pls solve the question (i will mark u the brainliest)
Step-by-step explanation:
May be (p³)³ would be the answer!!!
BRAINLY ME PLEASE IF HELPFUL!!!
WILL GIVE BRAINLIEST
PHOTO ATTACHED
Drag each tile to the correct box.
Arrange the solutions of the mathematical expressions from least to greatest according to their values in scientific notation.
(4.3x10^6).(9.8x10^-4)
(2.9x10^7)-(1.6x10^–9)
(4.7 x 10^3). (8.6 x 10^-7)
________________
(3.8 x 10^-4). (6.1 x 10^2)
(4.9x10^3).(74x10^–6)
(3.9 x 10^5). (8.7 x 10^-3)
_________________
(3.7 x 10^-5). (2.9 x 10^8)
Answer:
3,4,2,5,1. youre welcome :)
The arrangement of the solutions of the mathematical expressions from least to greatest according to their values in scientific notation is as follows:
Order Mathematical expressions
1. 3. (4.7 x 10^3). (8.6 x 10^-7)
________________
(3.8 x 10^-4). (6.1 x 10^2)
2. 4. (4.9x10^3).(74x10^–6)
3. 2. (2.9x10^7)-(1.6x10^–9)
4. 5. (3.9 x 10^5). (8.7 x 10^-3)
_________________
(3.7 x 10^-5). (2.9 x 10^8)
5. 1. (4.3x10^6).(9.8x10^-4)
What are mathematical expressions?Mathematical expressions are a combination of numbers, variables, and functions (for example, addition, subtraction, multiplication, or division, etc.) to state complete mathematical thoughts.
Mathematical expressions can be likened to grammatical phrases. In linguistics, a phrase, which may include an action, but it does not make a complete sentence without being combined with other phrases.
Data:1. (4.3x10^6).(9.8x10^-4)
2. (2.9x10^7)-(1.6x10^–9)
3. (4.7 x 10^3). (8.6 x 10^-7)
________________
(3.8 x 10^-4). (6.1 x 10^2)
4. (4.9x10^3).(74x10^–6)
5. (3.9 x 10^5). (8.7 x 10^-3)
_________________
(3.7 x 10^-5). (2.9 x 10^8)
Thus, the arrangement of the solutions of the mathematical expressions from least to greatest according to their values in scientific notation is 3, 4, 2, 5, and 1.
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20 POINTS
A swimming pool is 8 meters long, 8 meters wide, and 8 meters deep. The water
resistant paint needed for the pool costs $6 per square meter.
Part A: What is the surface area of the pool that needs to be painted? (Remember there is not a
top to the pool)
Part B: Based on the surface area you calculated, what is the total cost of the paint needed to paint
purchased?
Answer:
A. 320 sq. ft.
B. $1920
Step-by-step explanation:
You need to find 5 sides. They are all 8*8. 64*5 is 320. Now, you multiply that by 6 to get $1920
please help will mark brainliest no links
Answer:
what is this
Step-by-step explanation:
Papa Bear ate a quarter of the pie. Mama Bear ate a third of what was left. Baby Bear ate half of what was left. How much of the pie was left for Goldilocks
Mama bear only ate (1/4) of the pie, leaving Goldilocks with the remaining (1/8) fraction.
Which fraction is it?The fraction is expressed in the form a/b, where an is referred to as the numerator and b is referred to as the denominator. The fraction is a rational number that only divides two integers.
Let the pie's largest portion be a.
Half of the pie was consumed by Papa Bear.
Papa Bear then consumed = (1/2)a.
Rest of the pie is equal to a- (1/2).
a= (1/2)a
Mama bear consumed (half) of the remaining pie.
Mother bear consumed (1/2)(1/2).
pie portion a= (1/4) pie portion after mom bear has eaten = (1/2)
a- (1/4)a= (1/4)a
Baby bear afterwards consumed (half) of the remaining pie.
Baby bear ate (1/2)(1/4), thus. After the young bear has finished eating, the remaining pie is equal to (1/4) a- (1/8)a= (1/8)
The remainder of the component was given to GoldLiocks.
As a result, mom bear only ate (1/4) of the pie, leaving Goldilocks with the remaining (1/8) portion.
The complete question is Papa Bear ate 1/2 of a pie. Mama Benr ate 1/2 of what was left Baby Bear ate 1/2 of what
was left after Mama Bear finished.
3) What fractional part of the pie did Mama Bear eat?
4) What fractional part of the pie was left for Goldilocks?
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please please please help!!!
Answer:
a = 35, b = 40, c = 17.5
Step-by-step explanation:
The sum of the 3 arcs on the semicircle above the diameter = 180° , that is
65 + 80 + a = 180
145 + a = 180 ( subtract 145 from both sides )
a = 35
The inscribed angles b and c are half the measures of their intercepted arcs
b = [tex]\frac{1}{2}[/tex] × 80 = 40
c = [tex]\frac{1}{2}[/tex] × 35 = 17.5
Calculate the value of
x
.
Answer:
25 degrees
Step-by-step explanation:
2x plus 310 degrees add up to a full circle: 360 degrees.
Therefore, 2x = 360 - 310, or 2x = 50, or x = 25 degrees